FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1999, VOLUME 5, NUMBER 4, PAGES 1159-1166

About one of Uljanov's theorems

B. V. Simonov

Abstract

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Say that the sequence defined through the function $$a(t) satisfies the condition (B), if it is a Weyle's factor. The problem of the condition's (B) equivalence to the convergence of integral expressed through the function $$a(t) and through the fractional symmetric differences has been discussed in the article.

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Last modified: December 9, 1999